Can you find out the remainder when 3^300 is divided by 5?

In the image below, can you find the value of an angle(y)

Solve the mathematical equation in the picture below.

Rectify the following equality 101 - 102 = 1 by moving just one digit.

Arrange the numbers 1, 2, 3, 4, 5, 6, 7, 8 and 9 above and below the division line in a manner that the thus formed fractions equal to 1/3.

(You can use one number only once)

A man has eighty-one cows ( numbered 1,2,3...81 as such). The beauty is that cow no. 1 gives 1ltr of milk, cow no. 2 gives 2ltrs of milk and so on. The man wants to equally distribute the cows among his nine sons so that each one of them gets the same quantity of milk.

Find a 9-digit number, which you will gradually round off starting with units, then tenth, hundred etc., until you get to the last numeral, which you do not round off. The rounding alternates (up, down, up ...). After rounding off 8 times, the final number is 500000000. The original number is commensurable by 6 and 7, all the numbers from 1 to 9 are used, and after rounding four times the sum of the not-rounded numerals equals 24.

What number divided by 4 is the same as that number minus 4?

Can you arrange four 9's and use at most 2 math symbols, to make the total 100?

How do you go from 98 to 720 using just one letter?